Linear Equation to Slope-Intercept Form Converter
Easily convert linear equations from standard form (Ax + By = C) to slope-intercept form (y = mx + b) online. Visualize the line on a graph and understand slope and y-intercept.
Equation Inputs
Results
Slope (m):
Y-intercept (b):
Slope-intercept form (y = mx + b):
Line Visualization
Understanding Linear Equations and Slope-Intercept Form
A linear equation represents a straight line on a graph. The slope-intercept form, y = mx + b, is a common way to express linear equations because it directly reveals the slope (m) and the y-intercept (b). The slope indicates the steepness of the line, while the y-intercept is the point where the line crosses the y-axis. Converting from the standard form Ax + By = C to slope-intercept form helps in easily graphing and understanding the properties of a line. This tool simplifies this conversion and provides a visual representation of the line.
- Standard Form: Ax + By = C
- Slope-Intercept Form: y = mx + b, where m is the slope and b is the y-intercept.
- Slope (m): Calculated as -A/B.
- Y-intercept (b): Calculated as C/B.